julia paid $120 for 6 gift cards each gift card was the same price. Which shows the equation that represents the situation and the price of each gift card?

Answer:

There are exactly 42 generators of U(49), one for each power of g (g^0, g^1, g^2, ..., g^41).

Step-by-step explanation:

We know that the group U(49) is cyclic, so it has at least one generator. Let's call this generator g. Since U(49) has 42 elements, we know that g^42 = 1 (where 1 is the identity element of the group).

This is because the order of g must divide the order of the group, so the order of g can be 1, 2, 7, 14, 21, or 42.

Now, suppose there exists another generator h. This means that h has order 42 (since it generates the entire group).

However, since U(49) is cyclic, there exists an integer k such that h = g^k. Therefore, (g^k)^42 = g^(42k) = 1, which implies that 42 divides k. In other words, k must be a multiple of 42.

Conversely, if we let k be a multiple of 42, then (g^k)^42 = g^(42k) = 1. Therefore, the element g^k has order 42, and since it generates the entire group, it is also a generator of U(49).

So we have shown that if g is a generator of U(49), then any generator h can be written as h = g^k for some multiple k of 42.

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The mass of 6.56 pints of blood is 3.92 grams.

Given

The density of blood = 1.060 g/mL and mass of 6.56 pints

We have 1L = 2.113 pints

The density of a substance can be defined as the ratio of the mass of the substance to the volume of the substance. In chemistry, density is used to measure the concentration of the substance in the solution.

The expression for density = mass/volume

ρ = m/V

m = ρV

Mass = 1.060(1000ml/1L) × 6.56(1L/ 2.113)

= 3290.8 /1000

= 3.29g

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Answer:

30 cubes are added

Step-by-step explanation:

The image of the solid shape is attached.

From the Plan, Side elevation and Front elevation, the number of cubes needed to make the shape is 18 blocks. From the front elevation, 12 blocks is needed (4 * 3 blocks) while from the side elevation 6 blocks are needed given a total of 18 blocks.

The number of blocks needed to make the cuboid = 4 * 4 * 3 = 48 cm cubes.

Therefore the number of cubes to be added = 48 cubes - 18 cubes = 30 cubes.

30 cubes are added

The number of cubes that are added is 30.

What is Cube?

A cube's form is occasionally referred to as "cubic." Another way to put it is that a block with uniform length, width, and height is regarded to be a cube. It also contains 12 edges and 8 vertices, with 3 of the edges coming together at a single vertex point. Examine the illustration below, identifying the faces, edges, and vertices. It is also referred to as a right rhombohedron, an equilateral cuboid, and a square parallelepiped. One of the platonic solids, the cube is a convex polyhedron with all of its faces being square. The cube has either cubical symmetry or octahedral symmetry. The square prism is a specific instance of a cube.

From the Plan, Side elevation, and Front elevation, the number of cubes needed to make the shape is 18 blocks. From the front elevation, 12 blocks are needed (4 * 3 blocks) while from the side elevation 6 blocks are needed given a total of 18 blocks.

The number of blocks needed to make the cuboid

= 4 * 4 * 3 = 48 cm cubes.

Therefore the number of cubes to be added

= 48 cubes - 18 cubes

= 30 cubes.

30 cubes are added.

Hence, The number of cubes that are added is 30.

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The polynomial function in which p has four zeros at -4,-1,0, and 9 are:

--x(x + 4)(x + 1)(x-9) , -3x(x+4)(2x + 2)(x-9) and  -3x(x + 4)(x + 1)(x − 9)²

Here given polynomial function,

a. 3x(x-4)(x - 1)(x + 9)

if x = 0

then the function becomes 0

but -4 , -9 , -1 does not satisfy.

Therefore the function does not have four zeroes

b. --x(x + 4)(x + 1)(x-9)

Here the function will have four zeroes,

x = 0

(x + 4 ) = 0 when x = -4

(x + 1 ) = 0 when x = -1

(x - 9) = 0 when x = 9

Therefore the function has four zeroes.

c. -3x(x+4)(2x + 2)(x-9)

Here the function will have four zeroes,

x = 0

(x + 4 ) = 0 when x = -4

(2x + 2 ) = 0 when x = -1

(x - 9) = 0 when x = 9

d. 3x(x+4)(x-1)(x-9)

Here the function will have four zeroes,

x = 0

(x + 4 ) = 0 when x = -4

(x - 1 ) = 0 when x = 1

(x - 9) = 0 when x = 9

Here x = -1 does not satisfy, So the function does not have four zeroes.

e. -3x(x + 4)(x + 1)(x − 9)²

Here the function will have four zeroes,

x = 0

(x + 4 ) = 0 when x = -4

(x - 1 ) = 0 when x = 1

(x - 9)² = 0 when x = 9

Therefore the function has four zeroes.

Therefore the polynomial functions with four zeros at -4,-1,0, and 9 are as follows: —x(x + 4)(x + 1)(x-9), -3x(x+4)(2x + 2)(x-9) and

-3x(x + 4)(x + 1)(x-9) ²

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Answer:

10. As the temperature increases the number of people increases.

Step-by-step explanation:

Because its better to go to a pool when its hot.

sry i dont know 11 :(

Answer:

10: The answer would be the first option, as the temperature increases the number of people increases

11. The answer would be the first option (18, 105)

Step-by-step explanation:

10. As you look at the chart you notice how we look further to the right the temperature increases. (found at bottom of graph) You can see on the far left it shows the amount of people who show up at the pool. With this being said, you can find the answer would be, the warmer it gets the more people show up.

11. Taking another look at the graph we can see there are a bunch of dots together and one away from them. That one would be the Outlier, or a data point away from the others. Looking at our answer options we see that (18,105) Is best fitting to the outlier because the bottom numbers go by 2's and the side go by 50's

I hope this explains how to read a chart better! <3

Answer:

De los números racionales dados, aquel que es equivalente a un decimal finito es:

Step-by-step explanation:

Los decimales finitos, son aquellos cuyos números después del punto decimal no se extienden hasta el infinito sino que pueden ser contados fácilmente, por ende, lo que debes hacer en cada caso es dividir el número decimal e identificar si sus cifras decimales son infinitas o no, a continuación te mostraré la división en cada uno de los casos y podrás comprobar la respuesta correcta, (en caso de que los decimales sean infinitos utilizaré puntos suspensivos al final del número):

Como puedes notar, la única opción que equivale a un decimal finito, en este caso 0.2, es 1/5.

Answer:

Given, 3x−2<2x+1

⇒3x−2x<1+2

⇒x<3orx∈(−∞,3)

The lines y=3x−2 and y=2x+1 both will intersect at x=3

Clearly, the dark line shows the solution of 3x−2<2x+1.

solution

Step-by-step explanation:

Hey there!

ASSUMING

2(3r + 4) - 3 (r + 1) = 11

IF SO

2(3r + 4) - 3 (r + 1) = 11

2(3r + 4) - 3 (1r + 1) = 11

DISTRIBUTE

2(3r) + 2(4) - 3(1r) - 1(1) = 11

6r + 8 - 3r - 1 = 11

COMBINE the LIKE TERMS

(6r - 3r) + (8 - 3) = 11

6r - 3r + 8 - 3 = 11

3r + 5 = 11

SUBTRACT 5 to BOTH SIDES

3r + 5 - 5 = 11 - 5

SIMPLIFY!

3r = 11 - 5

3r = 6

DIVIDE 3 to BOTH SIDES
3r/3 = 6/3

SIMPLIFY!

r = 6/3

r = 2

Therefore, the answer should be: r = 2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

i agree with 3 minutes per page.  

Step-by-step explanation:

The a = 0.01 critical value for the chi - square statistic with 13 degrees of freedom is given by 27.688.

Hence the correct option is (A).

Here given distribution is Chi - squared distribution.

two parameters of chi - squared distribution are given by ' a ' and ' d ' where d is degree of freedom.

The critical value against chi squared distribution changes according to the change of the values of a and d.

The table chi squared distribution is given by,

Here we have to find the critical value for the chi - squared statistic with 13 degrees of freedom when a = 0.01.

Therefore, a = 0.01 and d = 13

From the given table we can see that when a = 0.01 and d = 13 the critical value is given by 27.688.

Hence the correct option is (A).

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Based on the table, statement which is true is C) About 20% of the students prefer Orange.

To find the correct answer, we need to calculate the total number of students surveyed and the number of students who prefer each flavor.

The total number of students surveyed is:

34 + 35 + 36 + 38 + 27 + 35 = 205

The number of students who prefer Chocolate is:

34 + 38 = 72

The number of students who prefer Mint is:

35 + 27 = 62

The number of students who prefer Orange is:

36 + 35 = 71

So, the correct statement is:

C. About 20% of the students prefer Orange.

To calculate this, we can use the following formula:

Percentage of students who prefer Orange = (Number of students who prefer Orange / Total number of students surveyed) x 100

= (71 / 205) x 100

= 34.63% (rounded to the nearest whole number)

Since the percentage is closest to 20%, we can conclude that about 20% of the students prefer Orange. Therefore, option C is correct.

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There are 2 tablespoons in an ounce. So for 2 ounces, you will need 4 tablespoons, for 4 ounces 8 tablespoons, and so on.

A tablespoon is a unit of volume measurement in United States, and some other countries. It is equal to approximately 15 milliliters (0.51 fluid ounces). One tablespoon can be further divided into three teaspoons, meaning that one tablespoon is equal to three teaspoons.

In the United States, one tablespoon is equal to 0.5 ounce, which is equal to 14.3 grams. This is slightly different in the UK, where one tablespoon is equal to 0.6 ounces (which is equal to 17.7 grams). To convert tablespoons to ounces, you can use the following formula is 1 tablespoon = 0.5 ounces.

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Considering supplementary angles, we have that the measures of x and y are given as follows:

We also have that x and y have different measures, hence the student is incorrect, and x and 40º are complementary.

Supplementary angles are angles whose measures add to 180º.

The three internal angles of a triangle are supplementary, hence we can find x as follows:

90 + 40 + x = 180

130 + x = 180

x = 50º.

Angles x, y and 50º are also supplementary, hence:

x + y + 50 = 180

50 + y + 50 = 180

y = 80º.

The angles with measures x and 40º are complementary, as they add to 90º.

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Answer:

sum up to 130 but not equal

Step-by-step explanation:

The equation that represents the situation in which case the percent of successful free throws is 75% during the game is; ( 8 + x ) = 0.75 ( 15 + x ).

It follows from the task content that the equation which represents the situation in which case the percent of successful free throws rises to 75% is to be determined.

As evident in the task content; Initially, Shaq made 8 out of 15 free throws he attempted.

Therefore, let the number of consecutive free throws he has to make to raise the success rate to 75% be; x.

Therefore, it follows from percent proportion that;

( 8 + x ) / ( 15 + x ) = 75 / 100

The simplified equation which represents the required situation is therefore;

( 8 + x ) = 0.75 ( 15 + x ).

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the image has the answers do you need me to explain how i did it?

Answer:  \(y - 7 = \frac{12}{11}(x - 4)\\\\\)

=========================================================

Explanation:

Let's first find the slope of the line through these given points.

\((x_1,y_1) = (4,7) \text{ and } (x_2,y_2) = (-7,-5)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-5 - 7}{-7 - 4}\\\\m = \frac{-12}{-11}\\\\m = \frac{12}{11}\\\\\)

Then we'll apply point-slope to finish up the problem.

\(y - y_1 = m(x - x_1)\\\\y - 7 = \frac{12}{11}(x - 4)\\\\\)

Normally we would distribute the 12/11 value through and then isolate y; however, your teacher specifically mentioned to write the answer in point-slope form.

There's nothing really special about the selection of (x1,y1) as (4,7) since we could have easily swapped the given points and used (x1,y1) = (-7,-5) instead. The order of the points does not matter.

In other words, an alternative answer would be

\(y - y_1 = m(x - x_1)\\\\y - (-5) = \frac{12}{11}(x - (-7))\\\\y + 5 = \frac{12}{11}(x +7)\\\\\)

I'll stick with the first equation since (4,7) was listed first.

Answer:Fido  ate   -723 more pies  then the winner  

Step-by-step explanation:

\($47\\-$712= -665\\-665\\- 58= -723\)

Hope this helps

The relative frequency of heads is reasonably close to 40%.Mr. Clark's claim about the theoretical probability is likely to be false. This means that the theoretical probability of tails is most likely 0.60.

The relative frequency is the ratio of the number of times an event occurred to the total number of trials. In this case, the relative frequency of heads is 0.38 and tails is 0.62.The theoretical probability of an event is the number of favorable outcomes divided by the total number of possible outcomes.

Here, Mr. Clark claims that the coin is weighted so that the probability of heads is 40%. Therefore, the theoretical probability of heads is 0.40.However, the relative frequency of heads after 200 trials is only 0.38, which is reasonably close to 0.40. Hence, the relative frequency of heads is reasonably close to 40%.

Mr. Clark's claim about the theoretical probability of heads is likely to be false because the relative frequency of heads is less than the theoretical probability of heads (0.38 < 0.40).Therefore, the theoretical probability of tails is 1 - 0.40 = 0.60 because the coin is fair, so the probabilities of heads and tails should add up to 1. Thus, the theoretical probability of tails is most likely 0.60.

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Answer:

\(y = 4^x\)

Step-by-step explanation:

Given

\((2,16)\)

\((5,1,024)\)

Required

Determine the exponential function \(y = a.b^x\)

In \((2,16)\)

\(x=2\) and \(y = 16\)

Substitute these values in \(y = a.b^x\)

\(16 = a.b^2\) --- (1)

In \((5,1,024)\)

\(x = 5\) and \(y = 1024\)

Substitute these values in \(y = a.b^x\)

\(1024 = a.b^5\) --- (2)

Divide (2) by (1)

\(\frac{1024}{16} = \frac{a.b^5}{a.b^2}\)

\(\frac{1024}{16} = \frac{b^5}{b^2}\)

\(64 = \frac{b^5}{b^2}\)

Apply second law of indices

\(64 = b^{5-2\)

\(64 = b^3\)

Express 64 as an exponent of 3

\(4^3 = b^3\)

\(4 = b\)

\(b = 4\)

Substitute 4 for b in (1)

\(16 = a.b^2\)

\(16 = a * 4^2\)

\(16 = a * 16\)

\(16 = 16a\)

Solve for a

\(a=\frac{16}{16}\)

\(a = 1\)

Substitute 1 for a and 4 for b in \(y = a.b^x\)

\(y = 1 * 4^x\)

\(y = 4^x\)

The exponential function is given by y = 100(0.4)ˣ

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the factor.

At point (2, 16):

16 = ab²      (1)

At point (5, 1.024):

1.024 = ab⁵      (2)

Dividing equation 2 by equation 1:

b³ = 0.064

b = 0.4

16 = a(0.4)²

a = 100

The exponential function is given by: y = 100(0.4)ˣ

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Given data

The length of the square L = 25 in

Use the formula for the perimeter of a square below, to find the perimeter.

Use the formula for the area of a square below, to find the area.

Answer:

x = 16

Step-by-step explanation:

8x - 8 = 7x + 8

Angles are vertical angles so they will be equal to each other.

x = 16

Answer:

345

Step-by-step explanation:

Answer:

160 yd

Step-by-step explanation:

Volume = L * W * H

V= 5 * 4 * 8

V= 160 yd

They are similar because they have the same slope the equation is

y = -2/3x + 531

What is in slope-intercept form?

changing 2x+3y=1470 to slope intercept form is solving for y

minus 2x both sides and divide by 3

y = -2/3x + 490

the slope is -2/3

the y intercept is y=490 or the point (0,490)

to graph it, I would start at the origin and go up 490 units on the y axis and put a point there

then go -2 units up (2 down) and 3 to the right and put a point there

then connect the 2 points with a line

in function notation, replace y with f(x) to get

y = -2/3x + 490

graph below

intercepts labeled

2x+3y=1593

they are similar because they have the same slope

the equation is  y = -2/3x + 531

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Answer:

8x=3(x+1)+2 : x =1

Step-by-step explanation:

Answer: The x is 1

Step-by-step explanation:

The pore compressibility (Cpp) can be calculated using the given parameters: porosity (0), Young's modulus (E), and Poisson's ratio (v). With a porosity of 0.2, Young's modulus of 10 GPa, and Poisson's ratio of 0.2, we can determine the pore compressibility.

Pore compressibility is a measure of how much a porous material, such as soil or rock, compresses under the application of pressure. It quantifies the change in pore volume with respect to changes in pressure.

Cpp = (1 - φ) / (E * (1 - 2ν))

Given the values:

φ = 0.2 (porosity)

E = 10 GPa (Young's modulus)

ν = 0.2 (Poisson's ratio)

Substituting these values into the formula, we have:

Cpp = (1 - 0.2) / (10 GPa * (1 - 2 * 0.2))

Simplifying the equation, we get:

Cpp = 0.8 / (10 GPa * (1 - 0.4))

   = 0.8 / (10 GPa * 0.6)

   = 0.8 / 6 GPa

   = 0.133 GPa^(-1)

Therefore, the pore compressibility (Cpp) is approximately 0.133 GPa^(-1).

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Answer: 20

Step-by-step explanation:

Assuming g(x) = -4x + 1,

( -4 (-4) + 1) - (-4 + 1)

= (16 + 1) - (-3)
= 17 + 3

= 20

The given line has parametric equations in terms of the parameter t. These equations represent the coordinates of points on the line as t varies.

To check if the point P(-5, 3, 0) lies on the line, we can substitute the coordinates of P into the parametric equations and see if there exists a value of t that satisfies all three equations simultaneously.

For the x-coordinate:

-5 = 1 + 5t

For the y-coordinate:

3 = 2 - 7t

For the z-coordinate:

0 = -3 + 3t

By solving these equations, we can find the value of t that satisfies all three equations. If such a value exists, it means that the point P lies on the line. If not, the point P does not lie on the line.

By examining the equations, we can see that there is no value of t that satisfies all three equations simultaneously. Therefore, the point P(-5, 3, 0) does not lie on the line with the given parametric equations.

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Answer:

50%

Step-by-step explanation:

(V2−V1)|V1|×100

=(7.5−5)|5|×100

=2.55×100

=0.5×100

=50%change

=50%increase